427112 has 32 divisors (see below), whose sum is σ = 950400. Its totient is φ = 176064.

The previous prime is 427103. The next prime is 427117. The reversal of 427112 is 211724.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 427112.

It is not an unprimeable number, because it can be changed into a prime (427117) by changing a digit.

427112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1493 + ... + 1755.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2⁴²⁷¹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475200).

427112 is an abundant number, since it is smaller than the sum of its proper divisors (523288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427112 is a wasteful number, since it uses less digits than its factorization.

427112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its digits is 112, while the sum is 17.

The square root of 427112 is about 653.5380631608. The cubic root of 427112 is about 75.3090653725.

Adding to 427112 its reverse (211724), we get a palindrome (638836).

The spelling of 427112 in words is "four hundred twenty-seven thousand, one hundred twelve", and thus it is an iban number.